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Finding the Fourth Proportional to 568.34, 784.28 and 402.83

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Solution

The fourth proportional to 568.34, 784.28 and 402.83 is: 555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.34 : 784.28 = 402.83 : x
  2. Step 2: Convert to fraction form
    568.34/784.28 = 402.83/x
  3. Step 3: Cross multiply
    568.34x = 784.28 × 402.83
  4. Step 4: Simplify right side
    568.34x = 315,928.60
  5. Step 5: Solve for x
    x = 315,928.60/568.34
  6. Step 6: Final answer
    x = 555.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.